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Table 1

Frequently used notations.

Variable Description
Parameters of the entire cloud
c Total size
0 Size of the homogeneous inner part
(Considered) scale
Mc Mass
MJ, c Jeans mass
ρc Density at the edge of the cloud
ρ0 Density of the inner part of the cloud
Average density
q Slope of the ρ-PDF
p Exponent of the cloud density profile
γ Exponent of the mass–size relationship
κ Parameter that accounts for the fragmentation of the cloud
Nc Total number of cores for the entire cloud
Parameters of the core population
l Core size
m Core mass
ln,  mn,  ρn Normalization units of size, mass and density
x Exponent of the mass–density relationship (structure parameter)
ρthres Threshold density for star formation
Mch Characteristic mass (lower mass limit) of the CMF
Γ Slope of the CMF

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